Novel Phase-Sensitive Full-Waveform Tomography for Seismic Imaging

Xingpeng Dong, Dinghui Yang
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Abstract

Full-waveform tomography (FWT) is increasingly recognized as a pivotal technique for delineating high-resolution subsurface properties. Despite its significant potential, practical applications of FWT encounter persistent challenges, particularly in dealing with local minima and cycle-skipping problems. These difficulties often arise and are intensified by the least-squares (L2) norm’s intrinsic insensitivity to phase mismatches. To address these challenges, we have redefined the traditional L2 norm misfit function by incorporating a time shift within the synthetic waveform. This shift is determined by the temporal discrepancies between the observed and synthetic waveforms, identified through a cross-correlation technique. This approach, termed phase-sensitive FWT, integrates phase differences into the new misfit function, thus significantly mitigating the cycle-skipping problem. Numerical experiments demonstrate that PSFWT reduces dependence on the initial model and achieves more accurate inversion results compared with the traditional L2 norm method, highlighting its potential for enhancing the precision and reliability of seismic imaging.
用于地震成像的新型相位敏感全波形层析成像技术
全波形层析成像(FWT)被越来越多地认为是描述高分辨率地下属性的关键技术。尽管全波形层析成像技术潜力巨大,但其实际应用却始终面临挑战,尤其是在处理局部极小值和周期跳跃问题时。由于最小二乘(L2)规范对相位失配的内在不敏感性,这些困难经常出现并加剧。为了应对这些挑战,我们重新定义了传统的 L2 准则误拟合函数,在合成波形中加入了时间偏移。这种偏移由观测波形和合成波形之间的时间差异决定,通过交叉相关技术进行识别。这种方法被称为相位敏感 FWT,它将相位差纳入新的误拟合函数,从而大大缓解了周期跳跃问题。数值实验证明,与传统的 L2 norm 方法相比,PSFWT 减少了对初始模型的依赖,并获得了更精确的反演结果,凸显了其在提高地震成像精度和可靠性方面的潜力。
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